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20205112 = 23172947109
BaseRepresentation
bin100110100010…
…0111000111000
31102000112012111
41031010320320
520133030422
62001022104
7333512014
oct115047070
942015174
1020205112
1110450444
126924934
1342558b5
14297d544
151b91a77
hex1344e38

20205112 has 64 divisors (see below), whose sum is σ = 42768000. Its totient is φ = 8902656.

The previous prime is 20205103. The next prime is 20205121. The reversal of 20205112 is 21150202.

It is an interprime number because it is at equal distance from previous prime (20205103) and next prime (20205121).

It is a junction number, because it is equal to n+sod(n) for n = 20205092 and 20205101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185314 + ... + 185422.

It is an arithmetic number, because the mean of its divisors is an integer number (668250).

Almost surely, 220205112 is an apocalyptic number.

It is an amenable number.

20205112 is an abundant number, since it is smaller than the sum of its proper divisors (22562888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20205112 is a wasteful number, since it uses less digits than its factorization.

20205112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 20205112 is about 4495.0096774089. The cubic root of 20205112 is about 272.3665401518.

Adding to 20205112 its reverse (21150202), we get a palindrome (41355314).

It can be divided in two parts, 2020 and 5112, that multiplied together give a triangular number (10326240 = T4544).

The spelling of 20205112 in words is "twenty million, two hundred five thousand, one hundred twelve".

Divisors: 1 2 4 8 17 29 34 47 58 68 94 109 116 136 188 218 232 376 436 493 799 872 986 1363 1598 1853 1972 2726 3161 3196 3706 3944 5123 5452 6322 6392 7412 10246 10904 12644 14824 20492 23171 25288 40984 46342 53737 87091 92684 107474 148567 174182 185368 214948 297134 348364 429896 594268 696728 1188536 2525639 5051278 10102556 20205112